Draw a number line like the one in Figure 1.39 for the problems that follow. For each problem, label all the tick marks on the number line. The number to be plotted need not land on a tick mark. a. Plot -4.3 on a number line on which the long tick marks are whole numbers. b. Plot -0.28 on a number line on which the long tick marks are whole numbers. c. Plot -0.28 on a number line on which the long tick marks are tenths. d. Plot -6.193 on a number line on which the long tick marks are tenths. e. Plot -6.193 on a number line on which the long tick marks are hundredths.

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.